The search in DELPHI data for neutral Higgs bosons is described. No candidate for the Standard Model Higgs is seen in Z 0 decays to H0ν overlineν, H0μ +μ - or H 0τ+τ- after selections that proved efficient for finding simulated H 0. One remaining candidate for Z 0 → H 0e +e - is consistent with background. Together with our earlier studies, these results restrict the H 0 mass to be above 38 GeV/ c2 at the 95% confidence level. No signal is found for decays of Minimal Supersymmetric Standard Model neutral Higgs bosons to τ+τ-. Limits are obtained for their decays to produce four jets.